Exam 7: Sampling and Sampling Distributions

From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is _____.

A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is _____.

Stratified random sampling is a method of selecting a sample in which _____.

A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is _____.

The sample statistic s is the point estimator of _____.

The basis for using a normal probability distribution to approximate the sampling distribution of $\bar { x }$ and $\bar { p }$ is _____.

A random sample of 150 people was taken from a very large population. Ninety of the people in the sample were females. The standard error of the proportion of females is _____.

Which of the following is an example of a nonprobability sampling technique?

All of the following are true about the standard error of the mean EXCEPT _____.

The difference between the value of the sample statistic and the value of the corresponding population parameter is called the _____.

A sample statistic, such as $\bar { x }$ , that estimates the value of the corresponding population parameter is known as a _____.

As the sample size increases, the variability among the sample means _____.

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) that are possible equals _____.

Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are _____.

A sample of 8 new models of automobiles provides the following data on highway miles per gallon. Use Excel to answer the questions that follow the data. Model Highway Miles per Gallon 1 33.6 2 26.8 3 20.2 4 38.7 5 35.1 6 28.0 7 26.2 8 27.6 ​ a. What is the point estimate for the average highway miles per gallon for all new models of autos? b. Determine the point estimate for the standard deviation of the population.

A population of size 1,000 has a proportion of .5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are _____.

From a population of 500 elements, a sample of 225 elements is selected. It is known that the variance of the population is 900. The standard error of the mean is approximately _____.

The standard deviation of $\bar { p }$ is referred to as the _____.

As the sample size increases, the _____.

The sampling distribution of the sample mean _____.